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Alpha Skew Gaussian Naïve Bayes Classifier

Author

Listed:
  • Anderson Ara

    (Department of Statistics, Federal University of Paraná, Av. Coronel Francisco Heráclito dos Santos, 100, Curitiba-PR, PO Box 19081, 81531-980, Brazil)

  • Francisco Louzada

    (Institute of Mathematical and Computer Sciences, University of São Paulo, Av. Trabalhador São Carlense, 400, São Carlos-SP, 13566-590, Brazil)

Abstract

The main goal of this paper is to introduce a new procedure for a naïve Bayes classifier, namely alpha skew Gaussian naïve Bayes (ASGNB), which is based on a flexible generalization of the Gaussian distribution applied to continuous variables. As a direct advantage, this method can accommodate the possibility to handle with asymmetry in the uni or bimodal behavior. We provide the estimation procedure of this method, and we check the predictive performance when compared to other traditional classification methods using simulation studies and many real datasets with different application fields. The ASGNB is a powerful alternative to classification tasks when lie the presence of asymmetry of bimodality in the data and outperforms well when compared to other traditional classification methods in most of the cases analyzed.

Suggested Citation

  • Anderson Ara & Francisco Louzada, 2022. "Alpha Skew Gaussian Naïve Bayes Classifier," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 21(01), pages 441-462, January.
  • Handle: RePEc:wsi:ijitdm:v:21:y:2022:i:01:n:s0219622021500644
    DOI: 10.1142/S0219622021500644
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